Delay-dependent stability analysis for Two- Dimensional discrete systems with shift delays by the General Models

This paper is concerned with stability analysis for two-dimensional (2-D) discrete systems with shift delays in the general models (GM). Delay-dependent sufficient conditions for stability are derived and expressed in terms of linear matrix inequalities (LMIs). The stability theorem concludes stability theorems for 2D discrete systems by the general models and the Fornasini-Marchesini local state space models as special cases. A numerical example is given to demonstrate the effectiveness and the benefits of the present results.